Questions on the nature of magnetic field

We all know Magnetic field’s strength is decreased by square of the distance from the source. Why square but not cube? Is that mean Magnetic field somehow exist in only a single plane, it is transferred by planar wave?
Moreover, in Parallel Path Effect, two Magnetic flux flowing through the same magnetizable metal in the same direction would produce an effect of magnetic field strength of the square of their sum of their individual strength. Why square not cube? Is that mean Magnetic field somehow exist in only a single plane, it is transferred by planar wave? Does that related to how the strength of magnetic field decrease by distance?

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